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Finding the Fourth Proportional to 984.14, 1,358.18 and 564.62

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Solution

The fourth proportional to 984.14, 1,358.18 and 564.62 is: 779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.14 : 1,358.18 = 564.62 : x
  2. Step 2: Convert to fraction form
    984.14/1,358.18 = 564.62/x
  3. Step 3: Cross multiply
    984.14x = 1,358.18 × 564.62
  4. Step 4: Simplify right side
    984.14x = 766,845.98
  5. Step 5: Solve for x
    x = 766,845.98/984.14
  6. Step 6: Final answer
    x = 779.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.